Question related to set

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Hi can someone help with this query as well? I reckon the answer is 256 because 2^8 but why?

Consider each of the 8 values in the set. What options do you have for each value in a subset (hint: one option is to include that value in the subset)?

Sounds like it’s a bit of a combination problem. Each value has an option of either being included or not. 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^8. Is this correct? But what about empty set? Do we need to account for that?

The empty set would be

No, No, No, No, No, No, No, No

It’s already one of your 2^8

Oh yeah, sorry just contradicted myself when I say each option has a yes or no. Thanks for pointing that out!